Generally the body of work over an entire career is required for consideration of Hall of Fame membership.
And generally the body of work lasts longer than five years.
Consider if you will Sandy Koufax though. The first seven years of his career were mediocre. His Hall of Fame career began in 1962 and lasted until 1966.
Though few would argue his Hall of fame selection.
Who are the other 5 Year Hall of Famers? Make your case.
Dizzy Dean was close from 1932-1936, but I would consider his 1937 season worthy, giving him 6.
Currently I suppose (Hi Jake), that one could make a case for Kershaw despite his lack of postseason prowess and chronic back issues. He was also a legitimate Cy Young award candidate for 7 consecutive years, giving him at least 7.
But there must be others and we are not talking about only left-handed pitchers who play(ed) for the Dodgers.